Answer:
The score is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
From the question we are told that the score follow a normal distribution
i.e 
The proportion of score in the top 10% is mathematically

Where x is the minimum score required to be in the top 10%
Now the 
So

So

So the critical value of 0.10 from the normal distribution table is 
So


Answer:
$90
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9%/100 = 0.09 per year,
then, solving our equation
I = 2000 × 0.09 × 0.5 = 90
I = $ 90.00
The simple interest accumulated
on a principal of $ 2,000.00
at a rate of 9% per year
for 0.5 years is $ 90.00.
Answer:
$31.80
Step-by-step explanation:
The ball will cost 100% of its price plus 6% of its price for a total of 106%.
To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.
Multiply the cost of the ball by your multiplication factor:
30 x 1.06 = 31.8
Money is written to two decimal places, making your answer $31.80